| import Mathlib | |
| namespace OAI | |
| noncomputable section | |
| namespace AngularEndpoint | |
| def node (N j : ℕ) : ℝ := -1 + 2 * (j : ℝ) / (N : ℝ) | |
| def boundary (N j : ℕ) : ℝ := | |
| if j = 0 then -1 else if j = N + 1 then 1 else | |
| (node N (j - 1) + node N j) / 2 | |
| def alpha (N j : ℕ) : ℝ := (1 + (node N j) ^ 2) / 4 | |
| def beta (N j : ℕ) : ℝ := node N j / 2 | |
| def profile (q : ℝ) : ℝ := (q ^ 2 + q ^ 4) / 16 | |
| def radius (τ η : ℝ) (N j : ℕ) : ℝ := | |
| 1 / 2 + τ ^ 2 * (profile (node N j) + η) | |
| end AngularEndpoint | |
| end | |
| end OAI | |